The discharge through a channel of rectangular section will be maximum, if
Its depth is twice the breadth
Its breadth is twice the depth
Its depth is thrice the breadth
Its breadth is thrice the depth
Correct Answer :
B. Its breadth is twice the depth
Related Questions
The discharge over the trapezoidal notch is equal to the discharge over the rectangular notch __________ the discharge over the triangular notch.
Plus
Minus
Divide
None of these
Surface tension has the units of
Newton-sec/m
Newton-m/sec
Newton/m
Newton
Specific weight of water in S.I. units is equal to
1000 N/m3
10000 N/m3
9.81 × 103 N/m3
9.81 × 10⁶ N/m3
When the coefficient of discharge (Cd) is 0.623, then the general equation for discharge over a rectangular weir is
1.84 (L - 0.1nH)H3/2
1.84 (L - nH)H2
1.84 (L - 0.1nH)H5/2
1.84 (L - nH)H3
A flow whose streamline is represented by a curve, is called
One-dimensional flow
Two-dimensional flow
Three-dimensional flow
Four-dimensional flow
For a floating body to be in stable equilibrium, its metacentre should be
Below the center of gravity
Below the center of buoyancy
Above the center of buoyancy
Above the center of gravity
The highest efficiency is obtained with a channel of __________ section.
Circular
Square
Rectangular
Trapezoidal
The property of a liquid which offers resistance to the movement of one layer of liquid over another adjacent layer of liquid, is called
Surface tension
Compressibility
Capillarity
Viscosity
A flow through an expanding tube at constant rate is called
Steady uniform flow
Steady non-uniform flow
Unsteady uniform flow
Unsteady non-uniform flow
Piezometer is used to measure
Pressure in pipe, channels etc.
Atmospheric pressure
Very low pressures
Difference of pressure between two points
A tank of uniform cross-sectional area (A) containing liquid upto height (H1) has an orifice of cross-sectional area (a) at its bottom. The time required to empty the tank completely will be
(2A√H₁)/(Cd × a√2g)
(2AH₁)/(Cd × a√2g)
(2AH₁3/2)/(Cd × a√2g)
(2AH₁²)/(Cd × a√2g)
The critical depth for a channel is given by (where q = Unit discharge (discharge per unit width) through the channel)
(q/g)1/2
(q²/g)1/3
(q³/g)1/4
(q⁴/g)1/5
Which of the following meters is not associated with viscosity?
Red wood
Say bolt
Engler
Orsat
A compound pipe of diameter d1, d2 and d3 having lengths l1, l2 and l3 is to be replaced by an equivalent pipe of uniform diameter d and of the same length (l) as that of the compound pipe. The size of the equivalent pipe is given by
l/d² = (l₁/d₁²) + (l₂/d₂²) + (l₃/d₃²)
l/d³ = (l₁/d₁³) + (l₂/d₂³) + (l₃/d₃³)
l/d⁴ = (l₁/d₁⁴) + (l₂/d₂⁴) + (l₃/d₃⁴)
l/d⁵ = (l₁/d₁⁵) + (l₂/d₂⁵) + (l₃/d₃⁵)
The two important forces for a floating body are
Buoyancy, gravity
Buoyancy, pressure
Buoyancy, inertial
Inertial, gravity
According to Francis formula, the discharge over a rectangular weir is (where n = Number of end contractions)
(2/3) × Cd (L - nH) × √(2gh)
(2/3) × Cd (L - 0.1nH) × √(2g) × H3/2
(2/3) × Cd (L - nH) × √(2g) × H²
(2/3) × Cd (L - nH) × √(2g) × H5/2
The force of buoyancy is always __________ the weight of the liquid displaced by the body.
Equal to
Less than
More than
None of these
The line of action of the buoyant force acts through the Centroid of the
Submerged body
Volume of the floating body
Volume of the fluid vertically above the body
Displaced volume of the fluid
The ratio of absolute viscosity to mass density is known as
Specific viscosity
Viscosity index
Kinematic viscosity
Coefficient of viscosity
For pipes, turbulent flow occurs when Reynolds number is
Less than 2000
Between 2000 and 4000
More than 4000
Less than 4000
Steady flow occurs when
The direction and magnitude of the velocity at all points are identical
The velocity of successive fluid particles, at any point, is the same at successive periods of time
The magnitude and direction of the velocity do not change from point to point in the fluid
The fluid particles move in plane or parallel planes and the streamline patterns are identical in each plane
The pressure measured with the help of a Piezometer tube is in
N/mm2
N/m2
Head of liquid
All of these
Uniform flow occurs when
The flow is steady
The flow is streamline
Size and shape of the cross section in a particular length remain constant
Size and cross section change uniformly along length
All the terms of energy in Bernoulli's equation have dimension of
Energy
Work
Mass
Length
The tangential velocity of the water element having a free vortex is
Directly proportional to its distance from the centre
Inversely proportional to its distance from the centre
Directly proportional to its (distance)2 from the centre
Inversely proportional to its (distance)2 from the centre
The flow in a pipe is neither laminar nor turbulent when Reynold number is
Less than 2000
Between 2000 and 2800
More than 2800
None of these
The loss of pressure head in case of laminar flow is proportional to
Velocity
(Velocity)2
(Velocity)3
(Velocity)4
When a body floating in a liquid, is displaced slightly, it oscillates about
C.G. of body
Center of pressure
Center of buoyancy
Metacentre
Cavitation is caused by
High velocity
High pressure
Weak material
Low pressure
Center of pressure compared to e.g. is
Above it
Below it
At same point
Above or below depending on area of body